What is the Least Common Multiple of 70711 and 70729?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 70711 and 70729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70711 and 70729, than apply into the LCM equation.

GCF(70711,70729) = 1
LCM(70711,70729) = ( 70711 × 70729) / 1
LCM(70711,70729) = 5001318319 / 1
LCM(70711,70729) = 5001318319

Least Common Multiple (LCM) of 70711 and 70729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70711 and 70729. First we will calculate the prime factors of 70711 and 70729.

Prime Factorization of 70711

Prime Factorization of 70729

Now multiplying the highest exponent prime factors to calculate the LCM of 70711 and 70729.

LCM(70711,70729) = 31¹ × 2281¹ × 70729¹
LCM(70711,70729) = 5001318319